We divide 683674 by 59
We want to divide 683674 by 59.

Moving on to step 1:
When dividing 6 by 59, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 59

Going ahead to step 2:
If we divide 68 by 59, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 59 from 68 and we're left with 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 59

Let's proceed to step 3:
59 can be fit into 93 1 times, resulting in a remainder of 34.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 59 from 93 and we're left with 34.
Fetch the next digit (6) from the dividend, attach it to 34 and continue: 346 / 59

On to step 4:
If we divide 346 by 59, we get 5 and a remainder of 51.
Use 5 as the next digit of our solution. 
Result so far: 115.0
Subtracting 295 from 346 leaves us with 51.
Fetch the next digit (7) from the dividend, attach it to 51 and continue: 517 / 59

Advancing to step 5:
The number 59 fits into 517 8 times, leaving a remainder of 45.
Put 8 as the next digit of the answer. 
Result so far: 1158.0
Subtract 472 from 517 to get 45.
Grab the next digit (4) from the dividend, add it to 45, then carry on: 454 / 59

Going ahead to step 6:
The number 59 fits into 454 7 times, leaving a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 11587.0
The remainder is 41 after subtracting 413 from 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
59 goes into 410 6 times with a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 11587.6
If we take 354 away from 410, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 8:
560 divided by 59 is 9 with a remainder of 29.
The next digit of our result is 9. 
Result so far: 11587.69
If we subtract 531 from 560, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 9:
59 can be fit into 290 4 times, resulting in a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 11587.694
Subtracting 236 from 290 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 10:
The number 59 fits into 540 9 times, leaving a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 11587.6949
Subtract 531 from 540 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 11:
59 can be fit into 90 1 times, resulting in a remainder of 31.
Use 1 as the next digit of our solution. 
Result so far: 11587.69491
The remainder is 31 after subtracting 59 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 12:
If we divide 310 by 59, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 11587.694915
The remainder is 15 after subtracting 295 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 13:
150 divided by 59 is 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 11587.6949152
The remainder is 32 after subtracting 118 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 14:
320 divided by 59 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 11587.69491525
Subtracting 295 from 320 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 11587.69491525 and a remainder of 2.5e-08.